Warum Grad in Radianten umrechnen?
Die Umrechnung zwischen Grad (°) und Radianten (rad) gehört zu den häufigsten Winkel-Umrechnungen. Ob für Ingenieurwesen, Kochen, Reisen oder Wissenschaft — die schnelle Umrechnung von ° in rad spart Zeit und vermeidet Fehler.
Angle conversions between ° and rad are fundamental in geometry, astronomy, and navigation. Engineers and architects convert between degrees and radians for structural calculations and trigonometric functions. In astronomy, precise angle measurements are needed to track celestial bodies and calculate distances in space. Navigational tools, from simple compasses to complex GPS systems, rely on accurate angular data to plot courses. A small error in angle conversion can lead to significant deviations over long distances, causing bridges to misalign or ships to miss their destinations.
So rechnen Sie Grad in Radianten um
Um Grad in Radianten umzurechnen, verwenden Sie folgende Formel:
rad = ° × 0.01745329252
Beispiel: 1 ° = 0.01745329252 rad
Zum Beispiel: 5 ° = 0.0872664626 rad, 10 ° = 0.1745329252 rad und 100 ° = 1.745329252 rad. Für größere Werte: 1000 ° = 17.45329252 rad. Umgekehrt: 1 rad = 57.29577951 °. Unser Rechner führt diese Umrechnung sofort mit voller Präzision durch — ohne Rundungsfehler.
Häufige Fehler vermeiden
- Radians vs Degrees: calculators often default to Radians; check mode.
- Gradians: a Gradian is not a Degree (100 grads = 90 degrees).
- Modulus 360: 370 degrees is physically same as 10 degrees, but mathematically distinct.
Profi-Tipps
- Carpentry: 45 degrees is the classic miter cut for corners.
- Triangles: Angles in a triangle always add up to 180 degrees.
- Sun angle: Impacts solar panel efficiency; tilt towards equator.
Was ist ein Grad?
A measurement of plane angle, 1/360 of a full rotation.
Geometry and navigation.
Was ist ein Radiant?
The standard SI unit of angular measure. 1 rad ≈ 57.3 degrees.
Mathematics and physics.